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Published in: BMC Medical Research Methodology 1/2020

Open Access 01-12-2020 | Sudden Cardiac Death | Technical Advance

Clinical risk prediction with random forests for survival, longitudinal, and multivariate (RF-SLAM) data analysis

Authors: Shannon Wongvibulsin, Katherine C. Wu, Scott L. Zeger

Published in: BMC Medical Research Methodology | Issue 1/2020

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Abstract

Background

Clinical research and medical practice can be advanced through the prediction of an individual’s health state, trajectory, and responses to treatments. However, the majority of current clinical risk prediction models are based on regression approaches or machine learning algorithms that are static, rather than dynamic. To benefit from the increasing emergence of large, heterogeneous data sets, such as electronic health records (EHRs), novel tools to support improved clinical decision making through methods for individual-level risk prediction that can handle multiple variables, their interactions, and time-varying values are necessary.

Methods

We introduce a novel dynamic approach to clinical risk prediction for survival, longitudinal, and multivariate (SLAM) outcomes, called random forest for SLAM data analysis (RF-SLAM). RF-SLAM is a continuous-time, random forest method for survival analysis that combines the strengths of existing statistical and machine learning methods to produce individualized Bayes estimates of piecewise-constant hazard rates. We also present a method-agnostic approach for time-varying evaluation of model performance.

Results

We derive and illustrate the method by predicting sudden cardiac arrest (SCA) in the Left Ventricular Structural (LV) Predictors of Sudden Cardiac Death (SCD) Registry. We demonstrate superior performance relative to standard random forest methods for survival data. We illustrate the importance of the number of preceding heart failure hospitalizations as a time-dependent predictor in SCA risk assessment.

Conclusions

RF-SLAM is a novel statistical and machine learning method that improves risk prediction by incorporating time-varying information and accommodating a large number of predictors, their interactions, and missing values. RF-SLAM is designed to easily extend to simultaneous predictions of multiple, possibly competing, events and/or repeated measurements of discrete or continuous variables over time.Trial registration: LV Structural Predictors of SCD Registry (clinicaltrials.gov, NCT01076660), retrospectively registered 25 February 2010
Appendix
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Literature
1.
go back to reference Goldstein BA, Navar AM, Carter RE. Moving beyond regression techniques in cardiovascular risk prediction: applying machine learning to address analytic challenges. Eur Heart J. 2016; 38(23):1805–14.PubMedCentral Goldstein BA, Navar AM, Carter RE. Moving beyond regression techniques in cardiovascular risk prediction: applying machine learning to address analytic challenges. Eur Heart J. 2016; 38(23):1805–14.PubMedCentral
3.
go back to reference Malley JD, Kruppa J, Dasgupta A, Malley KG, Ziegler A. Probability machines. Methods Inf Med. 2012; 51(01):74–81.PubMedCrossRef Malley JD, Kruppa J, Dasgupta A, Malley KG, Ziegler A. Probability machines. Methods Inf Med. 2012; 51(01):74–81.PubMedCrossRef
5.
go back to reference Boulesteix A-L, Janitza S, Kruppa J, König IR. Overview of random forest methodology and practical guidance with emphasis on computational biology and bioinformatics. Wiley Interdiscip Rev Data Min Knowl Disc. 2012; 2(6):493–507.CrossRef Boulesteix A-L, Janitza S, Kruppa J, König IR. Overview of random forest methodology and practical guidance with emphasis on computational biology and bioinformatics. Wiley Interdiscip Rev Data Min Knowl Disc. 2012; 2(6):493–507.CrossRef
6.
go back to reference Wager S, Athey S. Estimation and inference of heterogeneous treatment effects using random forests. J Am Stat Assoc. 2018; 113(523):1228–42.CrossRef Wager S, Athey S. Estimation and inference of heterogeneous treatment effects using random forests. J Am Stat Assoc. 2018; 113(523):1228–42.CrossRef
7.
go back to reference Hill JL. Bayesian nonparametric modeling for causal inference. J Comput Graph Stat. 2011; 20(1):217–40.CrossRef Hill JL. Bayesian nonparametric modeling for causal inference. J Comput Graph Stat. 2011; 20(1):217–40.CrossRef
8.
go back to reference Sparapani RA, Logan BR, McCulloch RE, Laud PW. Nonparametric survival analysis using bayesian additive regression trees (bart). Stat Med. 2016; 35(16):2741–53.PubMedPubMedCentralCrossRef Sparapani RA, Logan BR, McCulloch RE, Laud PW. Nonparametric survival analysis using bayesian additive regression trees (bart). Stat Med. 2016; 35(16):2741–53.PubMedPubMedCentralCrossRef
9.
go back to reference Foster JC, Taylor JM, Ruberg SJ. Subgroup identification from randomized clinical trial data. Stat Med. 2011; 30(24):2867–80.PubMedCrossRef Foster JC, Taylor JM, Ruberg SJ. Subgroup identification from randomized clinical trial data. Stat Med. 2011; 30(24):2867–80.PubMedCrossRef
10.
go back to reference Su X, Tsai C-L, Wang H, Nickerson DM, Li B. Subgroup analysis via recursive partitioning. J Mach Learn Res. 2009; 10(Feb):141–58. Su X, Tsai C-L, Wang H, Nickerson DM, Li B. Subgroup analysis via recursive partitioning. J Mach Learn Res. 2009; 10(Feb):141–58.
11.
go back to reference Lu M, Sadiq S, Feaster DJ, Ishwaran H. Estimating individual treatment effect in observational data using random forest methods. J Comput Graph Stat. 2018; 27(1):209–19.PubMedPubMedCentralCrossRef Lu M, Sadiq S, Feaster DJ, Ishwaran H. Estimating individual treatment effect in observational data using random forest methods. J Comput Graph Stat. 2018; 27(1):209–19.PubMedPubMedCentralCrossRef
12.
go back to reference Wilson PW, D’Agostino RB, Levy D, Belanger AM, Silbershatz H, Kannel WB. Prediction of coronary heart disease using risk factor categories. Circulation. 1998; 97(18):1837–47.PubMedCrossRef Wilson PW, D’Agostino RB, Levy D, Belanger AM, Silbershatz H, Kannel WB. Prediction of coronary heart disease using risk factor categories. Circulation. 1998; 97(18):1837–47.PubMedCrossRef
13.
go back to reference Morrow DA, Antman EM, Charlesworth A, Cairns R, Murphy SA, de Lemos JA, Giugliano RP, McCabe CH, Braunwald E. Timi risk score for st-elevation myocardial infarction: a convenient, bedside, clinical score for risk assessment at presentation: an intravenous npa for treatment of infarcting myocardium early ii trial substudy. Circulation. 2000; 102(17):2031–7.PubMedCrossRef Morrow DA, Antman EM, Charlesworth A, Cairns R, Murphy SA, de Lemos JA, Giugliano RP, McCabe CH, Braunwald E. Timi risk score for st-elevation myocardial infarction: a convenient, bedside, clinical score for risk assessment at presentation: an intravenous npa for treatment of infarcting myocardium early ii trial substudy. Circulation. 2000; 102(17):2031–7.PubMedCrossRef
14.
go back to reference Fishman GI, Chugh SS, DiMarco JP, Albert CM, Anderson ME, Bonow RO, Buxton AE, Chen P-S, Estes M, Jouven X, et al.Sudden cardiac death prediction and prevention: report from a national heart, lung, and blood institute and heart rhythm society workshop. Circulation. 2010; 122(22):2335–48.PubMedPubMedCentralCrossRef Fishman GI, Chugh SS, DiMarco JP, Albert CM, Anderson ME, Bonow RO, Buxton AE, Chen P-S, Estes M, Jouven X, et al.Sudden cardiac death prediction and prevention: report from a national heart, lung, and blood institute and heart rhythm society workshop. Circulation. 2010; 122(22):2335–48.PubMedPubMedCentralCrossRef
16.
go back to reference Wellens HJ, Schwartz PJ, Lindemans FW, Buxton AE, Goldberger JJ, Hohnloser SH, Huikuri HV, Kääb S, La Rovere MT, Malik M, et al.Risk stratification for sudden cardiac death: current status and challenges for the future. Eur Heart J. 2014; 35(25):1642–51.PubMedPubMedCentralCrossRef Wellens HJ, Schwartz PJ, Lindemans FW, Buxton AE, Goldberger JJ, Hohnloser SH, Huikuri HV, Kääb S, La Rovere MT, Malik M, et al.Risk stratification for sudden cardiac death: current status and challenges for the future. Eur Heart J. 2014; 35(25):1642–51.PubMedPubMedCentralCrossRef
18.
go back to reference Myerburg RJ, Goldberger JJ. Sudden cardiac arrest risk assessment: population science and the individual risk mandate. JAMA Cardiol. 2017; 2(6):689–94.PubMedCrossRef Myerburg RJ, Goldberger JJ. Sudden cardiac arrest risk assessment: population science and the individual risk mandate. JAMA Cardiol. 2017; 2(6):689–94.PubMedCrossRef
19.
go back to reference Zaman S, Goldberger JJ, Kovoor P. Sudden death risk-stratification in 2018–2019: The old and the new. Heart Lung Cir. 2019; 28(1):57–64.CrossRef Zaman S, Goldberger JJ, Kovoor P. Sudden death risk-stratification in 2018–2019: The old and the new. Heart Lung Cir. 2019; 28(1):57–64.CrossRef
20.
go back to reference Haqqani HM, Chan KH, Kumar S, Denniss AR, Gregory AT. The contemporary era of sudden cardiac death and ventricular arrhythmias: basic concepts, recent developments and future directions. Heart Lung Circ. 2019; 28(1):1–5.PubMedCrossRef Haqqani HM, Chan KH, Kumar S, Denniss AR, Gregory AT. The contemporary era of sudden cardiac death and ventricular arrhythmias: basic concepts, recent developments and future directions. Heart Lung Circ. 2019; 28(1):1–5.PubMedCrossRef
21.
go back to reference Chieng D, Paul V, Denman R. Current device therapies for sudden cardiac death prevention–the icd, subcutaneous icd and wearable icd. Heart Lung Circ. 2019; 28(1):65–75.PubMedCrossRef Chieng D, Paul V, Denman R. Current device therapies for sudden cardiac death prevention–the icd, subcutaneous icd and wearable icd. Heart Lung Circ. 2019; 28(1):65–75.PubMedCrossRef
22.
go back to reference Moss AJ, Zareba W, Hall WJ, Klein H, Wilber DJ, Cannom DS, Daubert JP, Higgins SL, Brown MW, Andrews ML. Prophylactic implantation of a defibrillator in patients with myocardial infarction and reduced ejection fraction. N Engl J Med. 2002; 346(12):877–83.PubMedCrossRef Moss AJ, Zareba W, Hall WJ, Klein H, Wilber DJ, Cannom DS, Daubert JP, Higgins SL, Brown MW, Andrews ML. Prophylactic implantation of a defibrillator in patients with myocardial infarction and reduced ejection fraction. N Engl J Med. 2002; 346(12):877–83.PubMedCrossRef
23.
go back to reference Bardy GH, Lee KL, Mark DB, Poole JE, Packer DL, Boineau R, Domanski M, Troutman C, Anderson J, Johnson G, et al.Amiodarone or an implantable cardioverter–defibrillator for congestive heart failure. N Engl J Med. 2005; 352(3):225–37.PubMedCrossRef Bardy GH, Lee KL, Mark DB, Poole JE, Packer DL, Boineau R, Domanski M, Troutman C, Anderson J, Johnson G, et al.Amiodarone or an implantable cardioverter–defibrillator for congestive heart failure. N Engl J Med. 2005; 352(3):225–37.PubMedCrossRef
24.
go back to reference Wu KC, Gerstenblith G, Guallar E, Marine JE, Dalal D, Cheng A, Marbán E, Lima JA, Tomaselli GF, Weiss RG. Combined cardiac magnetic resonance imaging and c-reactive protein levels identify a cohort at low risk for defibrillator firings and death. Circ Cardiovasc Imaging. 2012; 5(2):178–86.PubMedPubMedCentralCrossRef Wu KC, Gerstenblith G, Guallar E, Marine JE, Dalal D, Cheng A, Marbán E, Lima JA, Tomaselli GF, Weiss RG. Combined cardiac magnetic resonance imaging and c-reactive protein levels identify a cohort at low risk for defibrillator firings and death. Circ Cardiovasc Imaging. 2012; 5(2):178–86.PubMedPubMedCentralCrossRef
25.
go back to reference Kent DM, Hayward RA. Limitations of applying summary results of clinical trials to individual patients: the need for risk stratification. Jama. 2007; 298(10):1209–12.PubMedCrossRef Kent DM, Hayward RA. Limitations of applying summary results of clinical trials to individual patients: the need for risk stratification. Jama. 2007; 298(10):1209–12.PubMedCrossRef
26.
go back to reference Sabbag A, Suleiman M, Laish-Farkash A, Samania N, Kazatsker M, Goldenberg I, Glikson M, Beinart R, et al.Contemporary rates of appropriate shock therapy in patients who receive implantable device therapy in a real-world setting: From the israeli icd registry. Heart Rhythm. 2015; 12(12):2426–33.PubMedCrossRef Sabbag A, Suleiman M, Laish-Farkash A, Samania N, Kazatsker M, Goldenberg I, Glikson M, Beinart R, et al.Contemporary rates of appropriate shock therapy in patients who receive implantable device therapy in a real-world setting: From the israeli icd registry. Heart Rhythm. 2015; 12(12):2426–33.PubMedCrossRef
27.
go back to reference Kramer DB, Kennedy KF, Noseworthy PA, Buxton AE, Josephson ME, Normand S-L, Spertus JA, Zimetbaum PJ, Reynolds MR, Mitchell SL. Characteristics and outcomes of patients receiving new and replacement implantable cardioverter-defibrillators: results from the ncdr. Circ Cardiovasc Qual Outcomes. 2013; 6(4):488–97.PubMedCrossRef Kramer DB, Kennedy KF, Noseworthy PA, Buxton AE, Josephson ME, Normand S-L, Spertus JA, Zimetbaum PJ, Reynolds MR, Mitchell SL. Characteristics and outcomes of patients receiving new and replacement implantable cardioverter-defibrillators: results from the ncdr. Circ Cardiovasc Qual Outcomes. 2013; 6(4):488–97.PubMedCrossRef
28.
go back to reference Deo R, Norby FL, Katz R, Sotoodehnia N, Adabag S, DeFilippi CR, Kestenbaum B, Chen LY, Heckbert SR, Folsom AR, et al.Development and validation of a sudden cardiac death prediction model for the general population. Circulation. 2016; 134(11):806–16.PubMedPubMedCentralCrossRef Deo R, Norby FL, Katz R, Sotoodehnia N, Adabag S, DeFilippi CR, Kestenbaum B, Chen LY, Heckbert SR, Folsom AR, et al.Development and validation of a sudden cardiac death prediction model for the general population. Circulation. 2016; 134(11):806–16.PubMedPubMedCentralCrossRef
29.
go back to reference Kaltman JR, Thompson PD, Lantos J, Berul CI, Botkin J, Cohen JT, Cook NR, Corrado D, Drezner J, Frick KD, et al.Screening for sudden cardiac death in the young: report from a national heart, lung, and blood institute working group. Circulation. 2011; 123(17):1911–8.PubMedCrossRef Kaltman JR, Thompson PD, Lantos J, Berul CI, Botkin J, Cohen JT, Cook NR, Corrado D, Drezner J, Frick KD, et al.Screening for sudden cardiac death in the young: report from a national heart, lung, and blood institute working group. Circulation. 2011; 123(17):1911–8.PubMedCrossRef
30.
go back to reference Wu KC. Sudden cardiac death substrate imaged by magnetic resonance imaging: from investigational tool to clinical applications. Circ Cardiovasc Imaging. 2017; 10(7):005461.CrossRef Wu KC. Sudden cardiac death substrate imaged by magnetic resonance imaging: from investigational tool to clinical applications. Circ Cardiovasc Imaging. 2017; 10(7):005461.CrossRef
31.
go back to reference Bou-Hamad I, Larocque D, Ben-Ameur H, et al.A review of survival trees. Stat Surv. 2011; 5:44–71.CrossRef Bou-Hamad I, Larocque D, Ben-Ameur H, et al.A review of survival trees. Stat Surv. 2011; 5:44–71.CrossRef
33.
go back to reference Ishwaran H, Kogalur UB, Blackstone EH, Lauer MS, et al.Random survival forests. Ann Appl Stat. 2008; 2(3):841–60.CrossRef Ishwaran H, Kogalur UB, Blackstone EH, Lauer MS, et al.Random survival forests. Ann Appl Stat. 2008; 2(3):841–60.CrossRef
34.
go back to reference Hastie T, Tibshirani R, Friedman J. The elements of statistical learning. Springer Ser Stat. 2001. Hastie T, Tibshirani R, Friedman J. The elements of statistical learning. Springer Ser Stat. 2001.
35.
go back to reference Fernández-Delgado M, Cernadas E, Barro S, Amorim D. Do we need hundreds of classifiers to solve real world classification problems?. J Mach Learn Res. 2014; 15(1):3133–81. Fernández-Delgado M, Cernadas E, Barro S, Amorim D. Do we need hundreds of classifiers to solve real world classification problems?. J Mach Learn Res. 2014; 15(1):3133–81.
37.
go back to reference Tao S, Ashikaga H, Ciuffo LA, Yoneyama K, Lima JA, Frank TF, Weiss RG, Tomaselli GF, Wu KC. Impaired left atrial function predicts inappropriate shocks in primary prevention implantable cardioverter-defibrillator candidates. J Cardiovasc Electrophysiol. 2017; 28(7):796–805.PubMedPubMedCentralCrossRef Tao S, Ashikaga H, Ciuffo LA, Yoneyama K, Lima JA, Frank TF, Weiss RG, Tomaselli GF, Wu KC. Impaired left atrial function predicts inappropriate shocks in primary prevention implantable cardioverter-defibrillator candidates. J Cardiovasc Electrophysiol. 2017; 28(7):796–805.PubMedPubMedCentralCrossRef
38.
go back to reference Zhang Y, Guallar E, Weiss RG, Stillabower M, Gerstenblith G, Tomaselli GF, Wu KC. Associations between scar characteristics by cardiac magnetic resonance and changes in left ventricular ejection fraction in primary prevention defibrillator recipients. Heart Rhythm. 2016; 13(8):1661–6.PubMedPubMedCentralCrossRef Zhang Y, Guallar E, Weiss RG, Stillabower M, Gerstenblith G, Tomaselli GF, Wu KC. Associations between scar characteristics by cardiac magnetic resonance and changes in left ventricular ejection fraction in primary prevention defibrillator recipients. Heart Rhythm. 2016; 13(8):1661–6.PubMedPubMedCentralCrossRef
39.
go back to reference Cheng A, Dalal D, Butcher B, Norgard S, Zhang Y, Dickfeld T, Eldadah ZA, Ellenbogen KA, Guallar E, Tomaselli GF. Prospective observational study of implantable cardioverter-defibrillators in primary prevention of sudden cardiac death: study design and cohort description. J Am Heart Assoc. 2013; 2(1):000083.CrossRef Cheng A, Dalal D, Butcher B, Norgard S, Zhang Y, Dickfeld T, Eldadah ZA, Ellenbogen KA, Guallar E, Tomaselli GF. Prospective observational study of implantable cardioverter-defibrillators in primary prevention of sudden cardiac death: study design and cohort description. J Am Heart Assoc. 2013; 2(1):000083.CrossRef
40.
go back to reference Cheng A, Zhang Y, Blasco-Colmenares E, Dalal D, Butcher B, Norgard S, Eldadah Z, Ellenbogen KA, Dickfeld T, Spragg DD, et al.Protein biomarkers identify patients unlikely to benefit from primary prevention implantable cardioverter defibrillators: findings from the prospective observational study of implantable cardioverter defibrillators (prose-icd). Circ Arrhythmia Electrophysiol. 2014; 7(6):1084–91.CrossRef Cheng A, Zhang Y, Blasco-Colmenares E, Dalal D, Butcher B, Norgard S, Eldadah Z, Ellenbogen KA, Dickfeld T, Spragg DD, et al.Protein biomarkers identify patients unlikely to benefit from primary prevention implantable cardioverter defibrillators: findings from the prospective observational study of implantable cardioverter defibrillators (prose-icd). Circ Arrhythmia Electrophysiol. 2014; 7(6):1084–91.CrossRef
41.
go back to reference Zhang Y, Guallar E, Blasco-Colmenares E, Dalal D, Butcher B, Norgard S, Tjong FV, Eldadah Z, Dickfeld T, Ellenbogen KA, et al.Clinical and serum-based markers are associated with death within 1 year of de novo implant in primary prevention icd recipients. Heart Rhythm. 2015; 12(2):360–6.PubMedCrossRef Zhang Y, Guallar E, Blasco-Colmenares E, Dalal D, Butcher B, Norgard S, Tjong FV, Eldadah Z, Dickfeld T, Ellenbogen KA, et al.Clinical and serum-based markers are associated with death within 1 year of de novo implant in primary prevention icd recipients. Heart Rhythm. 2015; 12(2):360–6.PubMedCrossRef
43.
go back to reference Moradian H, Larocque D, Bellavance F. L1 splitting rules in survival forests. Lifetime Data Anal. 2017; 23(4):671–91.PubMedCrossRef Moradian H, Larocque D, Bellavance F. L1 splitting rules in survival forests. Lifetime Data Anal. 2017; 23(4):671–91.PubMedCrossRef
44.
go back to reference Nasejje JB, Mwambi H, Dheda K, Lesosky M. A comparison of the conditional inference survival forest model to random survival forests based on a simulation study as well as on two applications with time-to-event data. BMC Med Res Methodol. 2017; 17(1):115.PubMedPubMedCentralCrossRef Nasejje JB, Mwambi H, Dheda K, Lesosky M. A comparison of the conditional inference survival forest model to random survival forests based on a simulation study as well as on two applications with time-to-event data. BMC Med Res Methodol. 2017; 17(1):115.PubMedPubMedCentralCrossRef
45.
go back to reference Singer JD, Willett JB. It’s about time: Using discrete-time survival analysis to study duration and the timing of events. J Educ Stat. 1993; 18(2):155–95. Singer JD, Willett JB. It’s about time: Using discrete-time survival analysis to study duration and the timing of events. J Educ Stat. 1993; 18(2):155–95.
46.
go back to reference Fleming TR, Harrington DP. Counting Processes and Survival Analysis, vol. 169. Hoboken: Wiley; 2011. https://books.google.com/books?id=Sqg-YPcpzLYC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false. Fleming TR, Harrington DP. Counting Processes and Survival Analysis, vol. 169. Hoboken: Wiley; 2011. https://​books.​google.​com/​books?​id=​Sqg-YPcpzLYC&​printsec=​frontcover&​source=​gbs_​ge_​summary_​r&​cad=​0#v=​onepage&​q&​f=​false.
48.
go back to reference Quigley J, Bedford T, Walls L. Estimating rate of occurrence of rare events with empirical bayes: A railway application. Reliab Eng Syst Saf. 2007; 92(5):619–27.CrossRef Quigley J, Bedford T, Walls L. Estimating rate of occurrence of rare events with empirical bayes: A railway application. Reliab Eng Syst Saf. 2007; 92(5):619–27.CrossRef
49.
go back to reference Howlader HA, Balasooriya U. Bayesian estimation of the distribution function of the poisson model. Biom J J Math Methods Biosci. 2003; 45(7):901–12. Howlader HA, Balasooriya U. Bayesian estimation of the distribution function of the poisson model. Biom J J Math Methods Biosci. 2003; 45(7):901–12.
50.
go back to reference Breiman L. Classification and regression trees: Chapman & Hall; 1984. https://books.google.com/books?id=Sqg-YPcpzLYC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false. Breiman L. Classification and regression trees: Chapman & Hall; 1984. https://​books.​google.​com/​books?​id=​Sqg-YPcpzLYC&​printsec=​frontcover&​source=​gbs_​ge_​summary_​r&​cad=​0#v=​onepage&​q&​f=​false.
52.
go back to reference Liaw A, Wiener M, et al.Classification and regression by randomforest. R news. 2002; 2(3):18–22. Liaw A, Wiener M, et al.Classification and regression by randomforest. R news. 2002; 2(3):18–22.
54.
go back to reference Kruppa J, Schwarz A, Arminger G, Ziegler A. Consumer credit risk: Individual probability estimates using machine learning. Expert Syst Appl. 2013; 40(13):5125–31.CrossRef Kruppa J, Schwarz A, Arminger G, Ziegler A. Consumer credit risk: Individual probability estimates using machine learning. Expert Syst Appl. 2013; 40(13):5125–31.CrossRef
55.
go back to reference Steyerberg EW, Vergouwe Y. Towards better clinical prediction models: seven steps for development and an abcd for validation. Eur Heart J. 2014; 35(29):1925–31.PubMedPubMedCentralCrossRef Steyerberg EW, Vergouwe Y. Towards better clinical prediction models: seven steps for development and an abcd for validation. Eur Heart J. 2014; 35(29):1925–31.PubMedPubMedCentralCrossRef
56.
go back to reference Lee Y-h, Bang H, Kim DJ. How to establish clinical prediction models. Endocrinol Metab. 2016; 31(1):38–44.CrossRef Lee Y-h, Bang H, Kim DJ. How to establish clinical prediction models. Endocrinol Metab. 2016; 31(1):38–44.CrossRef
57.
go back to reference Moons KG, Royston P, Vergouwe Y, Grobbee DE, Altman DG. Prognosis and prognostic research: what, why, and how?. Bmj. 2009; 338:375.CrossRef Moons KG, Royston P, Vergouwe Y, Grobbee DE, Altman DG. Prognosis and prognostic research: what, why, and how?. Bmj. 2009; 338:375.CrossRef
58.
go back to reference Kattan MW, Hess KR, Amin MB, Lu Y, Moons KG, Gershenwald JE, Gimotty PA, Guinney JH, Halabi S, Lazar AJ, et al.American joint committee on cancer acceptance criteria for inclusion of risk models for individualized prognosis in the practice of precision medicine. CA: A Cancer J Clin. 2016; 66(5):370–4. Kattan MW, Hess KR, Amin MB, Lu Y, Moons KG, Gershenwald JE, Gimotty PA, Guinney JH, Halabi S, Lazar AJ, et al.American joint committee on cancer acceptance criteria for inclusion of risk models for individualized prognosis in the practice of precision medicine. CA: A Cancer J Clin. 2016; 66(5):370–4.
59.
go back to reference Steyerberg EW, Uno H, Ioannidis JP, Van Calster B, Ukaegbu C, Dhingra T, Syngal S, Kastrinos F. Poor performance of clinical prediction models: the harm of commonly applied methods. J Clin Epidemiol. 2018; 98:133–43.PubMedCrossRef Steyerberg EW, Uno H, Ioannidis JP, Van Calster B, Ukaegbu C, Dhingra T, Syngal S, Kastrinos F. Poor performance of clinical prediction models: the harm of commonly applied methods. J Clin Epidemiol. 2018; 98:133–43.PubMedCrossRef
60.
go back to reference Bansal A, Heagerty PJ. A tutorial on evaluating the time-varying discrimination accuracy of survival models used in dynamic decision making. Med Decis Making. 2018; 38(8):904–16.PubMedPubMedCentralCrossRef Bansal A, Heagerty PJ. A tutorial on evaluating the time-varying discrimination accuracy of survival models used in dynamic decision making. Med Decis Making. 2018; 38(8):904–16.PubMedPubMedCentralCrossRef
62.
go back to reference Efron B, Tibshirani R. An introduction to the bootstrap. New York: Chapman & Hall; 1994. Efron B, Tibshirani R. An introduction to the bootstrap. New York: Chapman & Hall; 1994.
63.
go back to reference Spiegelhalter DJ. Probabilistic prediction in patient management and clinical trials. Stat Med. 1986; 5(5):421–33.PubMedCrossRef Spiegelhalter DJ. Probabilistic prediction in patient management and clinical trials. Stat Med. 1986; 5(5):421–33.PubMedCrossRef
64.
go back to reference Rufibach K. Use of brier score to assess binary predictions. J Clin Epidemiol. 2010; 63(8):938–9.PubMedCrossRef Rufibach K. Use of brier score to assess binary predictions. J Clin Epidemiol. 2010; 63(8):938–9.PubMedCrossRef
65.
go back to reference Yang S, Prentice R. Improved logrank-type tests for survival data using adaptive weights. Biometrics. 2010; 66(1):30–8.PubMedCrossRef Yang S, Prentice R. Improved logrank-type tests for survival data using adaptive weights. Biometrics. 2010; 66(1):30–8.PubMedCrossRef
66.
go back to reference Mantel N. Evaluation of survival data and two new rank order statistics arising in its consideration. Cancer Chemother Rep. 1966; 50:163–70.PubMed Mantel N. Evaluation of survival data and two new rank order statistics arising in its consideration. Cancer Chemother Rep. 1966; 50:163–70.PubMed
67.
go back to reference Peto R, Peto J. Asymptotically efficient rank invariant test procedures. J R Stat Soc Ser A (Gen). 1972; 135(2):185–98.CrossRef Peto R, Peto J. Asymptotically efficient rank invariant test procedures. J R Stat Soc Ser A (Gen). 1972; 135(2):185–98.CrossRef
68.
go back to reference Prentice RL, Pettinger M, Anderson GL. Statistical issues arising in the women’s health initiative. Biometrics. 2005; 61(4):899–911.PubMedCrossRef Prentice RL, Pettinger M, Anderson GL. Statistical issues arising in the women’s health initiative. Biometrics. 2005; 61(4):899–911.PubMedCrossRef
69.
go back to reference Cook NR. Use and misuse of the receiver operating characteristic curve in risk prediction. Circulation. 2007; 115(7):928–35.PubMedCrossRef Cook NR. Use and misuse of the receiver operating characteristic curve in risk prediction. Circulation. 2007; 115(7):928–35.PubMedCrossRef
70.
go back to reference Wager S, Hastie T, Efron B. Confidence intervals for random forests: The jackknife and the infinitesimal jackknife. J Mach Learn Res. 2014; 15(1):1625–51.PubMedPubMedCentral Wager S, Hastie T, Efron B. Confidence intervals for random forests: The jackknife and the infinitesimal jackknife. J Mach Learn Res. 2014; 15(1):1625–51.PubMedPubMedCentral
72.
go back to reference Rizopoulos D, Molenberghs G, Lesaffre EM. Dynamic predictions with time-dependent covariates in survival analysis using joint modeling and landmarking. Biom J. 2017; 59(6):1261–76.PubMedCrossRef Rizopoulos D, Molenberghs G, Lesaffre EM. Dynamic predictions with time-dependent covariates in survival analysis using joint modeling and landmarking. Biom J. 2017; 59(6):1261–76.PubMedCrossRef
73.
go back to reference Chi Y-Y, Ibrahim JG. Joint models for multivariate longitudinal and multivariate survival data. Biometrics. 2006; 62(2):432–45.PubMedCrossRef Chi Y-Y, Ibrahim JG. Joint models for multivariate longitudinal and multivariate survival data. Biometrics. 2006; 62(2):432–45.PubMedCrossRef
74.
go back to reference Guler I, Faes C, Cadarso-Suárez C, Teixeira L, Rodrigues A, Mendonca D. Two-stage model for multivariate longitudinal and survival data with application to nephrology research. Biom J. 2017; 59(6):1204–20.PubMedCrossRef Guler I, Faes C, Cadarso-Suárez C, Teixeira L, Rodrigues A, Mendonca D. Two-stage model for multivariate longitudinal and survival data with application to nephrology research. Biom J. 2017; 59(6):1204–20.PubMedCrossRef
Metadata
Title
Clinical risk prediction with random forests for survival, longitudinal, and multivariate (RF-SLAM) data analysis
Authors
Shannon Wongvibulsin
Katherine C. Wu
Scott L. Zeger
Publication date
01-12-2020
Publisher
BioMed Central
Published in
BMC Medical Research Methodology / Issue 1/2020
Electronic ISSN: 1471-2288
DOI
https://doi.org/10.1186/s12874-019-0863-0

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